A) \[\omega \] and q
B) \[\omega q\] and m
C) q and m
D) \[\omega \] and m
Correct Answer: C
Solution :
[c] : Magnetic moment, \[M=IA\] \[M=\frac{qv}{2\pi r}\times \pi {{r}^{2}}=\left( q\times \frac{\omega }{2\pi } \right)\pi {{r}^{2}}=\frac{1}{2}q\omega {{r}^{2}}\] Angular momentum, \[L=mvr=m(\omega r)r=m\omega {{r}^{2}}\] \[\therefore \]\[\frac{M}{L}=\frac{\frac{1}{2}q\omega {{r}^{2}}}{m\omega {{r}^{2}}}=\frac{1}{2}\frac{q}{m}\]You need to login to perform this action.
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